Towards the weighted Bounded Negativity Conjecture for blow-ups of algebraic surfaces

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dc.identifier.uri http://dx.doi.org/10.15488/10368
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/10442
dc.contributor.author Laface, Roberto
dc.contributor.author Pokora, Piotr
dc.date.accessioned 2021-02-04T08:11:53Z
dc.date.available 2021-02-04T08:11:53Z
dc.date.issued 2019
dc.identifier.citation Laface, R.; Pokora, P.: Towards the weighted Bounded Negativity Conjecture for blow-ups of algebraic surfaces. In: Manuscripta Mathematica 163 (2020), S. 361-373. DOI: https://doi.org/10.1007/s00229-019-01157-2
dc.description.abstract In the present paper we focus on a weighted version of the Bounded Negativity Conjecture, which predicts that for every smooth projective surface in characteristic zero the self-intersection numbers of reduced and irreducible curves are bounded from below by a function depending on the intesection of curve with an arbitrary big and nef line bundle that is positive on the curve. We gather evidence for this conjecture by showing various bounds on the self-intersection number of curves in an algebraic surface. We focus our attention on blow-ups of algebraic surfaces, which have so far been neglected. eng
dc.language.iso eng
dc.publisher Heidelberg : Springer Verlag
dc.relation.ispartofseries Manuscripta Mathematica 2019 (2019)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Bounded Negativity Conjecture eng
dc.subject algebra eng
dc.subject.ddc 510 | Mathematik ger
dc.title Towards the weighted Bounded Negativity Conjecture for blow-ups of algebraic surfaces
dc.type article
dc.type Text
dc.relation.issn 0025-2611
dc.relation.doi https://doi.org/10.1007/s00229-019-01157-2
dc.bibliographicCitation.volume 163
dc.bibliographicCitation.firstPage 361
dc.bibliographicCitation.lastPage 373
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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